anonymous
  • anonymous
Solve the equation.
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
\[3x ^{1/2} + 5x ^{1/4} - 2 = 0\]
anonymous
  • anonymous
Well first get 2 to the other side of the equation. You will have 3x^1/2 + 5x^1/4 = 2
anonymous
  • anonymous
Alright, next?

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anonymous
  • anonymous
then imagine that x^(1/4)=m so we can write that equation with m. 3m^2+5m-2=0
anonymous
  • anonymous
okay
anonymous
  • anonymous
now we use quadratic formula. \[\Delta =25-4*-2*3=25+24=49\]\[m_{1}=\frac{ -5+7 }{ 6 }=\frac{ 1 }{ 3 }\]\[m_{2}=\frac{ -5-7 }{ 6 }=-2\]
anonymous
  • anonymous
Okay, I understand so far. What's next?
anonymous
  • anonymous

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